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Finding the Third Proportional to 791,746,668 and 1,706,107,734

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Solution

The third proportional to 791,746,668 and 1,706,107,734 is: 3,676,433,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,746,668 : 1,706,107,734 = 1,706,107,734 : x
  2. Step 2: Convert to fraction form
    791,746,668/1,706,107,734 = 1,706,107,734/x
  3. Step 3: Cross multiply
    791,746,668x = 1,706,107,734 × 1,706,107,734
  4. Step 4: Simplify right side
    791,746,668x = 2,910,803,600,014,614,528
  5. Step 5: Solve for x
    x = 2,910,803,600,014,614,528/791,746,668
  6. Step 6: Final answer
    x = 3,676,433,027.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.